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vampirchik [111]

3 years ago

9

The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each

shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).

1 answer:

Colt1911 [192]3 years ago

7 0

The answer is 2.5 because you need to divide it and then you get your answer

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POSSIBLE POINTS: 3.33

Triss [41]

Answer:

From the information given, you can write the following system of equations:

x+y+z=16 (1)

5x+4.5y+5.5z=82 (2)

z=x+y (3)

You can replace (3) in (1) and (2):

x+y+x+y=16

2x+2y=16 (4)

5x+4.5y+5.5(x+y)=82

5x+4.5y+5.5x+5.5y=82

10.5x+10y=82 (5)

Now, you have the following equations:

2x+2y=16 (4)

10.5x+10y=82 (5)

You can isolate x in (4):

2x=16-2y

x=8-y (6)

Then, you have to replace (6) in (5):

10.5(8-y)+10y=82

84-10.5y+10y=82

84-82=10.5y-10y

2=0.5y

y=2/0.5

y=4

Now, you can replace the value of y in (6) to find x:

x=8-4

x=4

Finally, you can replace the vaue of x and y in (3) to find z:

z=4+4

z=8

According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.

3 0

3 years ago

HELP PLEASE! AND IF YOU COULD PLEASE EXPLAIN IM CONFUSED

Damm [24]

In the given triangle, y = 32°.

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 9cm while the hypotenuse of the triangle measures 17cm. As we have the lengths of the opposite side and the hypotenuse side, we can calculate the sine of the value y.

sin y = $\frac{oppositeside}{hypotenuseside}$ .

Step 2; Length of the opposite side = 9 cm.

Length of the hypotenuse side = 17 cm.

sin y = $\frac{oppositeside}{hypotenuseside}$ = $\frac{9}{17}$ = 0.5294.

We can multiply inverse sine on both sides to solve y.

y = $sin^{-1}$ (0.5294) = 31.9657°.

Rounding this off to the nearest tenth we get, y = 32.0°.

6 0

3 years ago

PLease help <br> The segments shown below could form a triangle True or false ?

grigory [225]

Answer:

true

Step-by-step explanation:

for a right triangle no

3 0

3 years ago

Explain Step by Step how to divide the following question, then give the quotient.

daser333 [38]

quotient:

2

Step-by-step explanation:

50 divided by 25 is asking you how many 25s are in 50 so

2 25s go into 50

7 0

3 years ago

Read 2 more answers

Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

2 years ago